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Finding the Fourth Proportional to 197.00, 294.18 and 174.93

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Solution

The fourth proportional to 197.00, 294.18 and 174.93 is: 261.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.00 : 294.18 = 174.93 : x
  2. Step 2: Convert to fraction form
    197.00/294.18 = 174.93/x
  3. Step 3: Cross multiply
    197.00x = 294.18 × 174.93
  4. Step 4: Simplify right side
    197.00x = 51,460.91
  5. Step 5: Solve for x
    x = 51,460.91/197.00
  6. Step 6: Final answer
    x = 261.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.